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Математические методы исследования экономики

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Ʌɢɬɟɪɚɬɭɪɚ

1.Ȼɚɝɪɢɧɨɜɫɤɢɣ Ʉ Ⱥ Ɇɚɬɸɲɨɤ ȼ Ɇ ɗɤɨɧɨɦɢɤɨ-ɦɚɬɟɦɚ- ɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɢ ɦɨɞɟɥɢ ɭɱɟɛ ɩɨɫɨɛɢɟ ɞɥɹ ɜɭɡɨɜ – Ɇ ɊɍȾɇ – ɫ

2.Ȼɟɪɟɠɧɚɹ ȿ ȼ Ȼɟɪɟɠɧɨɣ ȼ ɂ Ɇɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɷɤɨɧɨɦɢɱɟɫɤɢɯ ɫɢɫɬɟɦ ɍɱɟɛ ɩɨɫɨɛɢɟ - Ɇ Ɏɢɧɚɧɫɵ ɢ ɫɬɚɬɢɫɬɢɤɚ - ɫ

3.Ɂɚɦɤɨɜ Ɉ Ɉ Ɍɨɥɫɬɨɩɹɬɟɧɤɨ Ⱥ ȼ ɑɟɪɟɦɧɵɯ ɘ ɇ Ɇɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɜ ɷɤɨɧɨɦɢɤɟ ɍɱɟɛɧɢɤ ɉɨɞ ɨɛɳ ɪɟɞ Ⱥ ȼ ɋɢɞɨɪɨɜɢɱɚ - Ɇ ɂɡɞɚɬɟɥɶɫɬɜɨ Ⱦɟɥɨ ɢ ɋɟɪɜɢɫ

2009. - ɫ

4.Ʉɪɚɫɫ Ɇ ɋ ɑɭɩɪɵɧɨɜ Ȼ ɉ Ɉɫɧɨɜɵ ɦɚɬɟɦɚɬɢɤɢ ɢ ɟɟ ɩɪɢɥɨɠɟɧɢɹ ɜ ɷɤɨɧɨɦɢɱɟɫɤɨɦ ɨɛɪɚɡɨɜɚɧɢɢ ɍɱɟɛɧɢɤ - Ɇ ɂɡɞɚɬɟɥɶɫɬɜɨ Ⱦɟɥɨ - ɫ

5.Ʉɪɟɦɟɪ ɇ ɒ - ɩɨɞ ɪɟɞ ɂɫɫɥɟɞɨɜɚɧɢɟ ɨɩɟɪɚɰɢɣ ɜ ɷɤɨɧɨɦɢɤɟ ɍɱɟɛɧ ɩɨɫɨɛɢɟ ɞɥɹ ɜɭɡɨɜ - Ɇ ɘɇɂɌɂ - ɫ

6.Ɇɨɢɫɟɟɜ ɋ ɂ Ɇɨɪɨɡɨɜ ɘ Ƚ ɋɬɟɩɚɧɨɜ Ʌ ȼ ɗɤɨɧɨɦɢɤɨɦɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɢ ɦɨɞɟɥɢ ɍɱɟɛɧɨɟ ɩɨɫɨɛɢɟ - ȼɨɪɨɧɟɠ ȼɎ ɆȽɗɂ - ɫ

7.Ɇɨɢɫɟɟɜ ɋ ɂ Ɍɚɬɚɪɢɧɰɟɜ Ⱥ ȼ Ɇɚɬɟɦɚɬɢɤɚ ɮɢɧɚɧɫɨɜɵɯ ɨɩɟɪɚɰɢɣ ɍɱɟɛɧɨɟ ɩɨɫɨɛɢɟ - ȼɨɪɨɧɟɠ ȼɎ ɆȽɗɂ

8.ɒɟɥɨɛɚɟɜ ɋ ɂ Ɇɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɢ ɦɨɞɟɥɢ ɜ ɷɤɨɧɨɦɢɤɟ ɮɢɧɚɧɫɚɯ ɛɢɡɧɟɫɟ Ɇ ɘɇɂɌɂ-ȾȺɇȺ

71

ɋɈȾȿɊɀȺɇɂȿ

 

ɌȿɆȺ Ɋɨɥɶ ɢ ɡɧɚɱɟɧɢɟ ɦɚɬɟɦɚɬɢɱɟɫɤɢɯ ɦɟɬɨɞɨɜ ɜ ɷɤɨɧɨɦɢɤɟ

 

Ɉɫɧɨɜɧɵɟ ɦɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɜ ɷɤɨɧɨɦɢɱɟɫɤɨɦ ɚɧɚɥɢɡɟ..............

3

Ȼɚɡɨɜɵɟ ɮɭɧɤɰɢɢ ɢ ɢɯ ɝɪɚɮɢɤɢ..........................................................

4

Ⱥɛɫɨɥɸɬɧɵɟ ɢ ɨɬɧɨɫɢɬɟɥɶɧɵɟ ɜɟɥɢɱɢɧɵ..........................................

7

ɜ ɷɤɨɧɨɦɢɱɟɫɤɨɦ ɚɧɚɥɢɡɟ...........................................................................

7

ɌȿɆȺ Ɉɫɧɨɜɧɵɟ ɩɪɢɧɰɢɩɵ ɫɢɫɬɟɦɧɨɝɨ ɚɧɚɥɢɡɚ Ɇɟɬɨɞɢɱɟɫɤɢɟ

 

ɨɫɧɨɜɵ ɦɚɬɟɦɚɬɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɋɗɉ......................................

14

2.1. Ʉɨɧɰɟɩɬɭɚɥɶɧɚɹ ɦɨɞɟɥɶ ɫɢɫɬɟɦɵ.....................................................

14

ɉɪɢɧɰɢɩɵ ɫɢɫɬɟɦɧɨɝɨ ɚɧɚɥɢɡɚ ɞɥɹ ɩɨɫɬɪɨɟɧɢɹ ɢ ɢɫɫɥɟɞɨɜɚɧɢɹ

 

ɤɨɧɰɟɩɬɭɚɥɶɧɵɯ ɦɨɞɟɥɟɣ ɋɗɉ................................................................

14

2 ɉɪɢɧɰɢɩɵ ɢ ɩɨɞɯɨɞɵ ɤ ɩɨɫɬɪɨɟɧɢɸ ɦɚɬɟɦɚɬɢɱɟɫɤɢɯ ɦɨɞɟɥɟɣ....

17

ɗɤɨɧɨɦɢɤɨ-ɦɚɬɟɦɚɬɢɱɟɫɤɨɟ ɦɨɞɟɥɢɪɨɜɚɧɢɟ ɢ ɟɝɨ ɷɬɚɩɵ..............

20

ɌȿɆȺ Ɇɟɬɨɞɢɱɟɫɤɢɟ ɩɨɞɯɨɞɵ ɤ ɦɨɞɟɥɢɪɨɜɚɧɢɸ ɫɩɪɨɫɚ ɧɚɫɟɥɟɧɢɹ

....................................................................................................................

28

Ɇɨɞɟɥɢ ɩɨɜɟɞɟɧɢɹ ɩɨɬɪɟɛɢɬɟɥɹ.......................................................

28

Ɍɨɜɚɪɵ Ƚɢɮɮɟɧɚ................................................................................

32

ɌȿɆȺ Ɇɟɬɨɞɵ ɥɢɧɟɣɧɨɣ ɚɥɝɟɛɪɵ ɜ ɷɤɨɧɨɦɢɱɟɫɤɨɦ ɚɧɚɥɢɡɟ..........

36

Ɇɚɬɪɢɱɧɚɹ ɛɚɥɚɧɫɨɜɚɹ ɦɨɞɟɥɶ.........................................................

36

Ʉɨɷɮɮɢɰɢɟɧɬɵ ɩɪɹɦɵɯ ɢ ɩɨɥɧɵɯ ɦɚɬɟɪɢɚɥɶɧɵɯ ɡɚɬɪɚɬ...............

38

Ɋɚɡɧɨɜɢɞɧɨɫɬɢ ɦɚɬɪɢɱɧɵɯ ɛɚɥɚɧɫɨɜɵɯ ɦɨɞɟɥɟɣ............................

42

ɌȿɆȺ Ɇɟɬɨɞɵ ɦɚɬɟɦɚɬɢɱɟɫɤɨɝɨ ɚɧɚɥɢɡɚ ɞɥɹ ɢɡɭɱɟɧɢɹ ɦɨɞɟɥɟɣ ɋɗɉ

....................................................................................................................

42

Ɇɟɬɨɞɵ ɩɨɫɬɪɨɟɧɢɹ ɢ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɵɯ ɮɭɧɤɰɢɣ

....................................................................................................................

42

ɑɢɫɥɨɜɵɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɵɯ ɮɭɧɤɰɢɣ................

44

Ʌɢɧɟɣɧɚɹ ɢ Ʉɨɛɛɚ-Ⱦɭɝɥɚɫɚ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɵɟ ɮɭɧɤɰɢɢ...............

45

ɌȿɆȺ Ɇɟɬɨɞɵ ɞɥɹ ɢɫɫɥɟɞɨɜɚɧɢɹ ɞɢɧɚɦɢɱɟɫɤɢɯ ɦɨɞɟɥɟɣ ɋɗɉ......

48

Ɉɫɧɨɜɧɵɟ ɩɨɧɹɬɢɹ ɢ ɨɛɨɡɧɚɱɟɧɢɹ ɞɢɧɚɦɢɱɟɫɤɨɝɨ

 

ɩɪɨɝɪɚɦɦɢɪɨɜɚɧɢɹ....................................................................................

48

6.2. Ⱥɥɝɨɪɢɬɦ ɪɟɚɥɢɡɚɰɢɢ ɦɟɬɨɞɚ...........................................................

51

Ⱦɢɧɚɦɢɱɟɫɤɚɹ ɡɚɞɚɱɚ ɪɚɫɩɪɟɞɟɥɟɧɢɹ ɢɧɜɟɫɬɢɰɢɣ..........................

53

Ʌɚɛɨɪɚɬɨɪɧɚɹ ɪɚɛɨɬɚ ʋ ɐɟɥɟɜɚɹ ɮɭɧɤɰɢɹ ɩɨɬɪɟɛɥɟɧɢɹ ɉɨɫɬɪɨɟɧɢɟ

Ɏɭɧɤɰɢɢ ɫɩɪɨɫɚ........................................................................................

57

Ʌɚɛɨɪɚɬɨɪɧɚɹ ɪɚɛɨɬɚ ʋ Ȼɚɥɚɧɫɨɜɵɟ ɦɨɞɟɥɢ......................................

61

ɄɈɇɌɊɈɅɖɇȺə ɊȺȻɈɌȺ......................................................................

64

Ʌɢɬɟɪɚɬɭɪɚ ................................................................................................

71

72

Ɉɤɭɧɟɜɚ ȿɥɟɧɚ Ɉɥɟɝɨɜɧɚ Ɇɨɢɫɟɟɜ ɋɟɪɝɟɣ ɂɝɨɪɟɜɢɱ

Ɇɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɢɫɫɥɟɞɨɜɚɧɢɹ ɷɤɨɧɨɦɢɤɢ ɍɱɟɛɧɨɟ ɩɨɫɨɛɢɟ

Ʌɢɰɟɧɡɢɹ ɂȾ ʋ ɨɬ ɝ. Ʉɨɦɩɶɸɬɟɪɧɚɹ ɜɟɪɫɬɤɚ ɉɨɞɩɢɫɚɧɨ ɜ ɩɟɱɚɬɶ 1.2013 ɝ

Ɏɨɪɦɚɬ ɯ

Ɉɛɴɟɦ 4,6 ɩ ɥ Ɍɢɪɚɠ 80 ɷɤɡ

Ɉɬɩɟɱɚɬɚɧɨ ɜ ɬɢɩɨɝɪɚɮɢɢ ȼɎ ɆȽɗɂ ɝ ȼɨɪɨɧɟɠ Ɇɨɫɤɨɜɫɤɢɣ ɩɪɨɫɩɟɤɬ

73

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